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Finding the Third Proportional to 74,789 and 162,700

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Solution

The third proportional to 74,789 and 162,700 is: 353,946.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,789 : 162,700 = 162,700 : x
  2. Step 2: Convert to fraction form
    74,789/162,700 = 162,700/x
  3. Step 3: Cross multiply
    74,789x = 162,700 × 162,700
  4. Step 4: Simplify right side
    74,789x = 26,471,290,000
  5. Step 5: Solve for x
    x = 26,471,290,000/74,789
  6. Step 6: Final answer
    x = 353,946.30

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.